Mathematics 9709 · AS & A Level · Representation of data

Representation of data — practice question

A vertical cliff stands $20\,\text{m}$ above sea level. Particle $P$ is launched from point $O$ at the cliff top with speed $15\,\text{m s}^{-1}$ at an angle of $30^\circ$ above the horizontal.
(i)[4]

Determine the speed and the direction of motion of $P$ at the moment it hits the water.

(ii)[4]

Determine the distance $OP$ at the instant when $P$ reaches the water.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $v_y^2 = (15\sin30)^2 + 2g \times 20$

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